6533b7d8fe1ef96bd126b71c
RESEARCH PRODUCT
Kinetic-Ising-model description of Newtonian dynamics: A one-dimensional example.
Wolfgang TschöpRolf Schillingsubject
PhysicsScale (ratio)AnharmonicityRelaxation (physics)Kinetic ising modelHarmonic (mathematics)Statistical physicsKinetic energyGlauberNewtonian dynamicsdescription
We show that the Newtonian dynamics of a chain of particles with an anharmonic on-site potential and harmonic nearest-neighbor interactions can be described by a one-dimensional kinetic Ising model with most general Glauber transition rates, provided the temperature is low enough compared to the minimum barrier height. The transition rates are calculated by use of the transition-state theory. At higher temperatures, memory effects occur which invalidate this kinetic description. These memory effects are due to the appearance of dynamically correlated clusters of particles performing periodic oscillations over a certain time scale.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1993-12-01 | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics |